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Abstract
Two kinds of Mei symmetries and conserved quantities of a mechanical system in phase space are studied. The definitions of the two kinds of Mei symmetries of me chanical system in phase space are given. The determining equations and conserve d quantities are obtained. An example is given to illustrate the application of the result.

Keywords:
phase space/

mechanical system/

Mei symmetry/

conserved quantiy
Authors and contacts
Fang Jian-Hui²,

Liao Yong-Pan¹,

Peng Yong¹
References

Cited By

[1]	Huang Wei-Li.Inverse problem of Mei symmetry for a general holonomic system. Acta Physica Sinica, 2015, 64(17): 170202.doi:10.7498/aps.64.170202
[2]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin.Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space. Acta Physica Sinica, 2014, 63(10): 104502.doi:10.7498/aps.63.104502
[3]	Liu Xiao-Wei, Li Yuan-Cheng.Another kind of conserved quantity induced by Mei symmetry of mechanico-electrical system. Acta Physica Sinica, 2011, 60(11): 111102.doi:10.7498/aps.60.111102
[4]	Liu Yang-Kui.A kind of conserved quantity of Mei symmetry for general holonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 7-10.doi:10.7498/aps.59.7
[5]	Zheng Shi-Wang, Xie Jia-Fang, Chen Xiang-Wei, Du Xue-Lian.Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems. Acta Physica Sinica, 2010, 59(8): 5209-5212.doi:10.7498/aps.59.5209
[6]	Fang Jian-Hui.A kind of conserved quantity of Mei symmetry for Lagrange system. Acta Physica Sinica, 2009, 58(6): 3617-3619.doi:10.7498/aps.58.3617
[7]	Cai Jian-Le.Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems. Acta Physica Sinica, 2009, 58(1): 22-27.doi:10.7498/aps.58.22
[8]	Lu Kai, Fang Jian-Hui, Zhang Ming-Jiang, Wang Peng.Noether symmetry and Mei symmetry of discrete holonomic system in phase space. Acta Physica Sinica, 2009, 58(11): 7421-7425.doi:10.7498/aps.58.7421
[9]	Ge Wei-Kuan.Mei symmetry and conserved quantity of a holonomic system. Acta Physica Sinica, 2008, 57(11): 6714-6717.doi:10.7498/aps.57.6714
[10]	Liu Yang-Kui, Fang Jian-Hui.Two types of conserved quantities of Lie-Mei symmetry for a variable mass system in phase space. Acta Physica Sinica, 2008, 57(11): 6699-6703.doi:10.7498/aps.57.6699
[11]	Jia Li-Qun, Zheng Shi-Wang, Zhang Yao-Yu.Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev’s type in event space. Acta Physica Sinica, 2007, 56(10): 5575-5579.doi:10.7498/aps.56.5575
[12]	Zheng Shi-Wang, Jia Li-Qun.Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems. Acta Physica Sinica, 2007, 56(2): 661-665.doi:10.7498/aps.56.661
[13]	Fang Jian-Hui, Wang Peng, Ding Ning.Lie-Mei symmetry of mechanical system in phase space. Acta Physica Sinica, 2006, 55(8): 3821-3824.doi:10.7498/aps.55.3821
[14]	Gu Shu-Long, Zhang Hong-Bin.Mei symmetry, Noether symmetry and Lie symmetry of a Vacco system. Acta Physica Sinica, 2005, 54(9): 3983-3986.doi:10.7498/aps.54.3983
[15]	Fang Jian-Hui, Peng Yong, Liao Yong-Pan.On Mei symmetry of Lagrangian system and Hamiltonian system. Acta Physica Sinica, 2005, 54(2): 496-499.doi:10.7498/aps.54.496
[16]	Zhang Yi.Symmetries and Mei conserved quantities for systems of generalized classical mechanics. Acta Physica Sinica, 2005, 54(7): 2980-2984.doi:10.7498/aps.54.2980
[17]	Zhang Yi, Ge Wei-Kuan.A new conservation law from Mei symmetry for the relativistic mechanical system. Acta Physica Sinica, 2005, 54(4): 1464-1467.doi:10.7498/aps.54.1464
[18]	Zhang Yi.Symmetries and conserved quantities of mechanical systems with unilateral holonomic constraints in phase space. Acta Physica Sinica, 2005, 54(10): 4488-4495.doi:10.7498/aps.54.4488
[19]	Li Hong, Fang Jian-Hui.Mei symmetry of variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(9): 2807-2810.doi:10.7498/aps.53.2807
[20]	Luo Shao-Kai.Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system. Acta Physica Sinica, 2003, 52(12): 2941-2944.doi:10.7498/aps.52.2941

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Vol. 54, Issue 2 - 2005-01-20

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